75800 has 24 divisors (see below), whose sum is σ = 176700. Its totient is φ = 30240.

The previous prime is 75797. The next prime is 75821. The reversal of 75800 is 857.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11 + ... + 389.

2⁷⁵⁸⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88350).

75800 is an abundant number, since it is smaller than the sum of its proper divisors (100900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75800 is a wasteful number, since it uses less digits than its factorization.

75800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 75800 is about 275.3179979587. The cubic root of 75800 is about 42.3210468543.

The spelling of 75800 in words is "seventy-five thousand, eight hundred".